// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2010 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.

#ifndef EIGEN_COMPLEX_SSE_H
#define EIGEN_COMPLEX_SSE_H

namespace Eigen {

namespace internal {

    //---------- float ----------
    struct Packet2cf
    {
        EIGEN_STRONG_INLINE Packet2cf() {}
        EIGEN_STRONG_INLINE explicit Packet2cf(const __m128& a) : v(a) {}
        Packet4f v;
    };

// Use the packet_traits defined in AVX/PacketMath.h instead if we're going
// to leverage AVX instructions.
#ifndef EIGEN_VECTORIZE_AVX
    template <> struct packet_traits<std::complex<float>> : default_packet_traits
    {
        typedef Packet2cf type;
        typedef Packet2cf half;
        enum
        {
            Vectorizable = 1,
            AlignedOnScalar = 1,
            size = 2,
            HasHalfPacket = 0,

            HasAdd = 1,
            HasSub = 1,
            HasMul = 1,
            HasDiv = 1,
            HasNegate = 1,
            HasSqrt = 1,
            HasAbs = 0,
            HasAbs2 = 0,
            HasMin = 0,
            HasMax = 0,
            HasSetLinear = 0,
            HasBlend = 1
        };
    };
#endif

    template <> struct unpacket_traits<Packet2cf>
    {
        typedef std::complex<float> type;
        typedef Packet2cf half;
        typedef Packet4f as_real;
        enum
        {
            size = 2,
            alignment = Aligned16,
            vectorizable = true,
            masked_load_available = false,
            masked_store_available = false
        };
    };

    template <> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_add_ps(a.v, b.v)); }
    template <> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_sub_ps(a.v, b.v)); }

    template <> EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf& a)
    {
        const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000, 0x80000000, 0x80000000, 0x80000000));
        return Packet2cf(_mm_xor_ps(a.v, mask));
    }
    template <> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a)
    {
        const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000, 0x80000000, 0x00000000, 0x80000000));
        return Packet2cf(_mm_xor_ps(a.v, mask));
    }

    template <> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
    {
#ifdef EIGEN_VECTORIZE_SSE3
        return Packet2cf(_mm_addsub_ps(_mm_mul_ps(_mm_moveldup_ps(a.v), b.v), _mm_mul_ps(_mm_movehdup_ps(a.v), vec4f_swizzle1(b.v, 1, 0, 3, 2))));
        //   return Packet2cf(_mm_addsub_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v),
        //                                  _mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
        //                                             vec4f_swizzle1(b.v, 1, 0, 3, 2))));
#else
        const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000, 0x00000000, 0x80000000, 0x00000000));
        return Packet2cf(_mm_add_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v),
                                    _mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3), vec4f_swizzle1(b.v, 1, 0, 3, 2)), mask)));
#endif
    }

    template <> EIGEN_STRONG_INLINE Packet2cf ptrue<Packet2cf>(const Packet2cf& a) { return Packet2cf(ptrue(Packet4f(a.v))); }
    template <> EIGEN_STRONG_INLINE Packet2cf pand<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_and_ps(a.v, b.v)); }
    template <> EIGEN_STRONG_INLINE Packet2cf por<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_or_ps(a.v, b.v)); }
    template <> EIGEN_STRONG_INLINE Packet2cf pxor<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_xor_ps(a.v, b.v)); }
    template <> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_andnot_ps(b.v, a.v)); }

    template <> EIGEN_STRONG_INLINE Packet2cf pload<Packet2cf>(const std::complex<float>* from)
    {
        EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>(&numext::real_ref(*from)));
    }
    template <> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from)
    {
        EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>(&numext::real_ref(*from)));
    }

    template <> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>& from)
    {
        Packet2cf res;
#ifdef EIGEN_VECTORIZE_SSE3
        res.v = _mm_castpd_ps(_mm_loaddup_pd(reinterpret_cast<double const*>(&from)));
#else
        res.v = _mm_castpd_ps(_mm_load_sd(reinterpret_cast<double const*>(&from)));
        res.v = _mm_movelh_ps(res.v, res.v);
#endif
        return res;
    }

    template <> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from) { return pset1<Packet2cf>(*from); }

    template <> EIGEN_STRONG_INLINE void pstore<std::complex<float>>(std::complex<float>* to, const Packet2cf& from)
    {
        EIGEN_DEBUG_ALIGNED_STORE pstore(&numext::real_ref(*to), Packet4f(from.v));
    }
    template <> EIGEN_STRONG_INLINE void pstoreu<std::complex<float>>(std::complex<float>* to, const Packet2cf& from)
    {
        EIGEN_DEBUG_UNALIGNED_STORE pstoreu(&numext::real_ref(*to), Packet4f(from.v));
    }

    template <> EIGEN_DEVICE_FUNC inline Packet2cf pgather<std::complex<float>, Packet2cf>(const std::complex<float>* from, Index stride)
    {
        return Packet2cf(_mm_set_ps(std::imag(from[1 * stride]), std::real(from[1 * stride]), std::imag(from[0 * stride]), std::real(from[0 * stride])));
    }

    template <> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<float>, Packet2cf>(std::complex<float>* to, const Packet2cf& from, Index stride)
    {
        to[stride * 0] = std::complex<float>(_mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 0)), _mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 1)));
        to[stride * 1] = std::complex<float>(_mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 2)), _mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 3)));
    }

    template <> EIGEN_STRONG_INLINE void prefetch<std::complex<float>>(const std::complex<float>* addr)
    {
        _mm_prefetch((SsePrefetchPtrType)(addr), _MM_HINT_T0);
    }

    template <> EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet2cf>(const Packet2cf& a)
    {
#if EIGEN_GNUC_AT_MOST(4, 3)
        // Workaround gcc 4.2 ICE - this is not performance wise ideal, but who cares...
        // This workaround also fix invalid code generation with gcc 4.3
        EIGEN_ALIGN16 std::complex<float> res[2];
        _mm_store_ps((float*)res, a.v);
        return res[0];
#else
        std::complex<float> res;
        _mm_storel_pi((__m64*)&res, a.v);
        return res;
#endif
    }

    template <> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a) { return Packet2cf(_mm_castpd_ps(preverse(Packet2d(_mm_castps_pd(a.v))))); }

    template <> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a)
    {
        return pfirst(Packet2cf(_mm_add_ps(a.v, _mm_movehl_ps(a.v, a.v))));
    }

    template <> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a)
    {
        return pfirst(pmul(a, Packet2cf(_mm_movehl_ps(a.v, a.v))));
    }

    EIGEN_STRONG_INLINE Packet2cf pcplxflip /* <Packet2cf> */ (const Packet2cf& x) { return Packet2cf(vec4f_swizzle1(x.v, 1, 0, 3, 2)); }

    EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet2cf, Packet4f)

    template <> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
    {
        // TODO optimize it for SSE3 and 4
        Packet2cf res = pmul(a, pconj(b));
        __m128 s = _mm_mul_ps(b.v, b.v);
        return Packet2cf(_mm_div_ps(res.v, _mm_add_ps(s, vec4f_swizzle1(s, 1, 0, 3, 2))));
    }

    //---------- double ----------
    struct Packet1cd
    {
        EIGEN_STRONG_INLINE Packet1cd() {}
        EIGEN_STRONG_INLINE explicit Packet1cd(const __m128d& a) : v(a) {}
        Packet2d v;
    };

// Use the packet_traits defined in AVX/PacketMath.h instead if we're going
// to leverage AVX instructions.
#ifndef EIGEN_VECTORIZE_AVX
    template <> struct packet_traits<std::complex<double>> : default_packet_traits
    {
        typedef Packet1cd type;
        typedef Packet1cd half;
        enum
        {
            Vectorizable = 1,
            AlignedOnScalar = 0,
            size = 1,
            HasHalfPacket = 0,

            HasAdd = 1,
            HasSub = 1,
            HasMul = 1,
            HasDiv = 1,
            HasNegate = 1,
            HasSqrt = 1,
            HasAbs = 0,
            HasAbs2 = 0,
            HasMin = 0,
            HasMax = 0,
            HasSetLinear = 0
        };
    };
#endif

    template <> struct unpacket_traits<Packet1cd>
    {
        typedef std::complex<double> type;
        typedef Packet1cd half;
        typedef Packet2d as_real;
        enum
        {
            size = 1,
            alignment = Aligned16,
            vectorizable = true,
            masked_load_available = false,
            masked_store_available = false
        };
    };

    template <> EIGEN_STRONG_INLINE Packet1cd padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_add_pd(a.v, b.v)); }
    template <> EIGEN_STRONG_INLINE Packet1cd psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_sub_pd(a.v, b.v)); }
    template <> EIGEN_STRONG_INLINE Packet1cd pnegate(const Packet1cd& a) { return Packet1cd(pnegate(Packet2d(a.v))); }
    template <> EIGEN_STRONG_INLINE Packet1cd pconj(const Packet1cd& a)
    {
        const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000, 0x0, 0x0, 0x0));
        return Packet1cd(_mm_xor_pd(a.v, mask));
    }

    template <> EIGEN_STRONG_INLINE Packet1cd pmul<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
    {
#ifdef EIGEN_VECTORIZE_SSE3
        return Packet1cd(_mm_addsub_pd(_mm_mul_pd(_mm_movedup_pd(a.v), b.v), _mm_mul_pd(vec2d_swizzle1(a.v, 1, 1), vec2d_swizzle1(b.v, 1, 0))));
#else
        const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x0, 0x0, 0x80000000, 0x0));
        return Packet1cd(
            _mm_add_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v), _mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 1, 1), vec2d_swizzle1(b.v, 1, 0)), mask)));
#endif
    }

    template <> EIGEN_STRONG_INLINE Packet1cd ptrue<Packet1cd>(const Packet1cd& a) { return Packet1cd(ptrue(Packet2d(a.v))); }
    template <> EIGEN_STRONG_INLINE Packet1cd pand<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_and_pd(a.v, b.v)); }
    template <> EIGEN_STRONG_INLINE Packet1cd por<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_or_pd(a.v, b.v)); }
    template <> EIGEN_STRONG_INLINE Packet1cd pxor<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_xor_pd(a.v, b.v)); }
    template <> EIGEN_STRONG_INLINE Packet1cd pandnot<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_andnot_pd(b.v, a.v)); }

    // FIXME force unaligned load, this is a temporary fix
    template <> EIGEN_STRONG_INLINE Packet1cd pload<Packet1cd>(const std::complex<double>* from)
    {
        EIGEN_DEBUG_ALIGNED_LOAD return Packet1cd(pload<Packet2d>((const double*)from));
    }
    template <> EIGEN_STRONG_INLINE Packet1cd ploadu<Packet1cd>(const std::complex<double>* from)
    {
        EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cd(ploadu<Packet2d>((const double*)from));
    }
    template <> EIGEN_STRONG_INLINE Packet1cd pset1<Packet1cd>(const std::complex<double>& from)
    { /* here we really have to use unaligned loads :( */
        return ploadu<Packet1cd>(&from);
    }

    template <> EIGEN_STRONG_INLINE Packet1cd ploaddup<Packet1cd>(const std::complex<double>* from) { return pset1<Packet1cd>(*from); }

    // FIXME force unaligned store, this is a temporary fix
    template <> EIGEN_STRONG_INLINE void pstore<std::complex<double>>(std::complex<double>* to, const Packet1cd& from)
    {
        EIGEN_DEBUG_ALIGNED_STORE pstore((double*)to, Packet2d(from.v));
    }
    template <> EIGEN_STRONG_INLINE void pstoreu<std::complex<double>>(std::complex<double>* to, const Packet1cd& from)
    {
        EIGEN_DEBUG_UNALIGNED_STORE pstoreu((double*)to, Packet2d(from.v));
    }

    template <> EIGEN_STRONG_INLINE void prefetch<std::complex<double>>(const std::complex<double>* addr)
    {
        _mm_prefetch((SsePrefetchPtrType)(addr), _MM_HINT_T0);
    }

    template <> EIGEN_STRONG_INLINE std::complex<double> pfirst<Packet1cd>(const Packet1cd& a)
    {
        EIGEN_ALIGN16 double res[2];
        _mm_store_pd(res, a.v);
        return std::complex<double>(res[0], res[1]);
    }

    template <> EIGEN_STRONG_INLINE Packet1cd preverse(const Packet1cd& a) { return a; }

    template <> EIGEN_STRONG_INLINE std::complex<double> predux<Packet1cd>(const Packet1cd& a) { return pfirst(a); }

    template <> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const Packet1cd& a) { return pfirst(a); }

    EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet1cd, Packet2d)

    template <> EIGEN_STRONG_INLINE Packet1cd pdiv<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
    {
        // TODO optimize it for SSE3 and 4
        Packet1cd res = pmul(a, pconj(b));
        __m128d s = _mm_mul_pd(b.v, b.v);
        return Packet1cd(_mm_div_pd(res.v, _mm_add_pd(s, _mm_shuffle_pd(s, s, 0x1))));
    }

    EIGEN_STRONG_INLINE Packet1cd pcplxflip /* <Packet1cd> */ (const Packet1cd& x) { return Packet1cd(preverse(Packet2d(x.v))); }

    EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet2cf, 2>& kernel)
    {
        __m128d w1 = _mm_castps_pd(kernel.packet[0].v);
        __m128d w2 = _mm_castps_pd(kernel.packet[1].v);

        __m128 tmp = _mm_castpd_ps(_mm_unpackhi_pd(w1, w2));
        kernel.packet[0].v = _mm_castpd_ps(_mm_unpacklo_pd(w1, w2));
        kernel.packet[1].v = tmp;
    }

    template <> EIGEN_STRONG_INLINE Packet2cf pcmp_eq(const Packet2cf& a, const Packet2cf& b)
    {
        __m128 eq = _mm_cmpeq_ps(a.v, b.v);
        return Packet2cf(pand<Packet4f>(eq, vec4f_swizzle1(eq, 1, 0, 3, 2)));
    }

    template <> EIGEN_STRONG_INLINE Packet1cd pcmp_eq(const Packet1cd& a, const Packet1cd& b)
    {
        __m128d eq = _mm_cmpeq_pd(a.v, b.v);
        return Packet1cd(pand<Packet2d>(eq, vec2d_swizzle1(eq, 1, 0)));
    }

    template <> EIGEN_STRONG_INLINE Packet2cf pblend(const Selector<2>& ifPacket, const Packet2cf& thenPacket, const Packet2cf& elsePacket)
    {
        __m128d result = pblend<Packet2d>(ifPacket, _mm_castps_pd(thenPacket.v), _mm_castps_pd(elsePacket.v));
        return Packet2cf(_mm_castpd_ps(result));
    }

    template <> EIGEN_STRONG_INLINE Packet1cd psqrt<Packet1cd>(const Packet1cd& a) { return psqrt_complex<Packet1cd>(a); }

    template <> EIGEN_STRONG_INLINE Packet2cf psqrt<Packet2cf>(const Packet2cf& a) { return psqrt_complex<Packet2cf>(a); }

}  // end namespace internal
}  // end namespace Eigen

#endif  // EIGEN_COMPLEX_SSE_H
